ENGLISH

Constructivism in Mathematics: An Introduction

By Dirk van Dalen , Anne S. Troelstra

Book information

Publisher
North-Holland
Year
1988
ISBN
0444702660, 9780444702661
ISSN
0049-237X
Language
english
Format
PDF
Filesize
30 MB (31140497 bytes)
Series
Studies in Logic and the Foundations of Mathematics 121
Volume
Volume 1
Pages
361\361
Topic
Mathematics Logic
Orientation
portrait
Paginated
no
Scanned
yes
Time added
2013-06-05 09:07:15

Description

(Note: Volume 2 is NOT contained in this eBook.) These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.

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